Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I've been beating around the bush for a long time, ever since I've been in StackExchange. Now, I really must come to the point. I have a link here that you people can see (go to about the end of the eighth page)

Given a value for $p$, how will you generate the sequence, moreover, what will the $n$th element in the set be?

Edit Perhaps I should've written this before, never mind... I meant to say, how do I go about generating a unique-sum set with $p$ elements, as the few examples on page 9 (i.e. following part 2.3) show, and when done so, how would I know what the $n$th element in that set would be, considering I won't be looking over the entire thing once I'm done generating the set?

share|improve this question
3  
Isn't there some way you can explain your question without asking your audience to first read a 16-page paper? –  MJD Apr 4 '12 at 17:00
    
Aside from the word set in the title, what is the relation to set theory? Can it be understood without reading the said 16 pages long paper? –  Asaf Karagila Apr 4 '12 at 17:04
    
The relevant content of the paper is all in section 2.3: a "unique-sum set" of positive integers is a set $\{s_1...s_n\}$ for which the only solution to $\sum c_is_i = \sum s_i$ has $c_i = 1$ for each $i$. But I cannot make out what question is being asked. –  MJD Apr 4 '12 at 17:07
1  
The first half of the post mentions beating around the bush and getting to the point. The second half is evasive and unclear. Ironic, no? –  Théophile Apr 4 '12 at 17:15
    
@Mark Dominus: Probably not. It's hard to put in words, and I'm terrible in TeX. Sorry for that. Moreover, you get to see more references and sources within the entire paper. –  Mach9 Apr 4 '12 at 17:37

1 Answer 1

up vote 3 down vote accepted

In the example on page 9, the set $U_p$ contains the $p$ numbers $2^p - 2^{p-m}$ for each $m$ in $1\ldots p$. For example, $U_5 = \{ 32-1, 32-2, 32-4, 32-8, 32-16 \} = \{ 16, 24, 28, 30, 31 \}$. Proposition 2 claims that the $U_p$ sets have the unique-sum property. Is this what you were looking for?

share|improve this answer
    
That effectively answers it-thanks, Mr. Mark Dominus. The paper wasn't all that clear to me. –  Mach9 Apr 4 '12 at 18:49

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.